461564 has 24 divisors (see below), whose sum is σ = 876960. Its totient is φ = 211904.

The previous prime is 461561. The next prime is 461569. The reversal of 461564 is 465164.

461564 = T₁₈₄ + T₁₈₅ + ... + T₂₀₇.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2582 + ... + 2754.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

2⁴⁶¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

461564 is a deficient number, since it is larger than the sum of its proper divisors (415396).

461564 is a wasteful number, since it uses less digits than its factorization.

461564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 461564 is about 679.3850160255. The cubic root of 461564 is about 77.2818143450.

Subtracting 461564 from its reverse (465164), we obtain a square (3600 = 60²).

The spelling of 461564 in words is "four hundred sixty-one thousand, five hundred sixty-four".